To solve the equation [tex]\( \frac{x}{6} = 20 \)[/tex], follow these steps:
1. Understand the equation: We need to isolate the variable [tex]\( x \)[/tex] on one side of the equation. Currently, [tex]\( x \)[/tex] is divided by 6.
2. Eliminate the fraction: To get rid of the division by 6 and isolate [tex]\( x \)[/tex], we need to multiply both sides of the equation by 6.
[tex]\[
\frac{x}{6} \times 6 = 20 \times 6
\][/tex]
3. Simplify the equation: When we multiply both sides by 6, the 6’s on the left side cancel out, leaving us just with [tex]\( x \)[/tex] on the left side.
[tex]\[
x = 20 \times 6
\][/tex]
4. Calculate the result: Perform the multiplication on the right side.
[tex]\[
x = 120
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is 120.
Now, let's look at the given options:
A. [tex]\( x = 14 \)[/tex]
B. [tex]\( x = 120 \)[/tex]
C. [tex]\( x = 3 \)[/tex]
D. [tex]\( x = 26 \)[/tex]
The correct answer is [tex]\( B. x = 120 \)[/tex].
